Search a number
-
+
1001100006 = 23319975731
BaseRepresentation
bin111011101010111…
…001001011100110
32120202202011001000
4323222321023212
54022240200011
6243201014130
733544131624
oct7352711346
92522664030
101001100006
11474105285
1223b324346
1312c533a8a
1496d56514
155cd4c356
hex3bab92e6

1001100006 has 32 divisors (see below), whose sum is σ = 2341756800. Its totient is φ = 316136520.

The previous prime is 1001099971. The next prime is 1001100007. The reversal of 1001100006 is 6000011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486840 + ... + 488891.

It is an arithmetic number, because the mean of its divisors is an integer number (73179900).

Almost surely, 21001100006 is an apocalyptic number.

1001100006 is an abundant number, since it is smaller than the sum of its proper divisors (1340656794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001100006 is a wasteful number, since it uses less digits than its factorization.

1001100006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975761 (or 975755 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001100006 is about 31640.1644433148. The cubic root of 1001100006 is about 1000.3665343029.

Adding to 1001100006 its reverse (6000011001), we get a palindrome (7001111007).

The spelling of 1001100006 in words is "one billion, one million, one hundred thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 975731 1951462 2927193 5854386 8781579 17563158 18538889 26344737 37077778 52689474 55616667 111233334 166850001 333700002 500550003 1001100006